FR2804225B1 - Algorithme d'exponentiation modulaire dans un composant electrique mettant en oeuvre un algorithme de chiffrement a cle publique - Google Patents
Algorithme d'exponentiation modulaire dans un composant electrique mettant en oeuvre un algorithme de chiffrement a cle publiqueInfo
- Publication number
- FR2804225B1 FR2804225B1 FR0001333A FR0001333A FR2804225B1 FR 2804225 B1 FR2804225 B1 FR 2804225B1 FR 0001333 A FR0001333 A FR 0001333A FR 0001333 A FR0001333 A FR 0001333A FR 2804225 B1 FR2804225 B1 FR 2804225B1
- Authority
- FR
- France
- Prior art keywords
- algorithm
- public key
- electrical component
- key encryption
- modular exponentiation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
- G06F7/723—Modular exponentiation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F2207/72—Indexing scheme relating to groups G06F7/72 - G06F7/729
- G06F2207/7219—Countermeasures against side channel or fault attacks
- G06F2207/7261—Uniform execution, e.g. avoiding jumps, or using formulae with the same power profile
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Computational Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- General Engineering & Computer Science (AREA)
- Storage Device Security (AREA)
- Complex Calculations (AREA)
- Lock And Its Accessories (AREA)
Priority Applications (9)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR0001333A FR2804225B1 (fr) | 2000-01-26 | 2000-01-26 | Algorithme d'exponentiation modulaire dans un composant electrique mettant en oeuvre un algorithme de chiffrement a cle publique |
JP2001555318A JP3878853B2 (ja) | 2000-01-26 | 2001-01-18 | 公開鍵暗号アルゴリズムを用いる電子構成品におけるモジュラべき乗演算アルゴリズム |
PCT/FR2001/000166 WO2001055838A2 (fr) | 2000-01-26 | 2001-01-18 | Algorithme d'exponentation modulaire dans un composant electronique mettant en oeuvre un algorithme de chiffrement a cle publique |
MXPA02006801A MXPA02006801A (es) | 2000-01-26 | 2001-01-18 | Algoritmo de exponenciacion modular en un componente electronico utilizando un algoritmo de codificacion de clave publica. |
EP01907631A EP1254408B1 (fr) | 2000-01-26 | 2001-01-18 | Procede de calcul d'exponentation modulaire dans un composant electronique mettant en oeuvre un algorithme de chiffrement a cle publique |
US10/181,890 US7174016B2 (en) | 2000-01-26 | 2001-01-18 | Modular exponentiation algorithm in an electronic component using a public key encryption algorithm |
DE60100992T DE60100992T2 (de) | 2000-01-26 | 2001-01-18 | Verfahren zur modularen potenzierung in einem elekronischen baustein, der einen kryptographischen algorithmus mit öffentlichem schlüssel durchführt |
CN01804114A CN1397035A (zh) | 2000-01-26 | 2001-01-18 | 在电子部件中使用公共密钥加密算法的模求幂算法 |
AU2001235547A AU2001235547A1 (en) | 2000-01-26 | 2001-01-18 | Modular exponential algorithm in an electronic component using a public key encryption algorithm |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
FR0001333A FR2804225B1 (fr) | 2000-01-26 | 2000-01-26 | Algorithme d'exponentiation modulaire dans un composant electrique mettant en oeuvre un algorithme de chiffrement a cle publique |
Publications (2)
Publication Number | Publication Date |
---|---|
FR2804225A1 FR2804225A1 (fr) | 2001-07-27 |
FR2804225B1 true FR2804225B1 (fr) | 2002-05-03 |
Family
ID=8846598
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
FR0001333A Expired - Fee Related FR2804225B1 (fr) | 2000-01-26 | 2000-01-26 | Algorithme d'exponentiation modulaire dans un composant electrique mettant en oeuvre un algorithme de chiffrement a cle publique |
Country Status (9)
Country | Link |
---|---|
US (1) | US7174016B2 (fr) |
EP (1) | EP1254408B1 (fr) |
JP (1) | JP3878853B2 (fr) |
CN (1) | CN1397035A (fr) |
AU (1) | AU2001235547A1 (fr) |
DE (1) | DE60100992T2 (fr) |
FR (1) | FR2804225B1 (fr) |
MX (1) | MXPA02006801A (fr) |
WO (1) | WO2001055838A2 (fr) |
Families Citing this family (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
FR2830146B1 (fr) * | 2001-09-24 | 2003-10-31 | Gemplus Card Int | Procede de mise en oeuvre, dans un composant electronique, d'un algorithme de cryptographie et composant correspondant |
TW586086B (en) * | 2002-12-27 | 2004-05-01 | Ind Tech Res Inst | Method and apparatus for protecting public key schemes from timing, power and fault attacks |
FR2858496B1 (fr) | 2003-07-31 | 2005-09-30 | Gemplus Card Int | Procede pour la mise en oeuvre securisee d'un algorithme de cryptographie de type rsa et composant correspondant |
FR2887351A1 (fr) * | 2005-06-16 | 2006-12-22 | St Microelectronics Sa | Protection d'un calcul d'exponentiation modulaire effectue par un circuit integre |
FR2972064B1 (fr) * | 2011-02-25 | 2013-03-15 | Inside Secure | Procede de cryptographie comprenant une operation d'exponentiation |
EP2793123A1 (fr) * | 2013-04-16 | 2014-10-22 | Gemalto SA | Procédé d'exécution sécurisée d'une exponentiation modulaire |
CN103441843B (zh) * | 2013-07-26 | 2016-09-21 | 北京华大信安科技有限公司 | Rsa算法私钥元素获取方法及获取装置 |
Family Cites Families (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6064740A (en) * | 1997-11-12 | 2000-05-16 | Curiger; Andreas | Method and apparatus for masking modulo exponentiation calculations in an integrated circuit |
US6298442B1 (en) * | 1998-06-03 | 2001-10-02 | Cryptography Research, Inc. | Secure modular exponentiation with leak minimization for smartcards and other cryptosystems |
-
2000
- 2000-01-26 FR FR0001333A patent/FR2804225B1/fr not_active Expired - Fee Related
-
2001
- 2001-01-18 EP EP01907631A patent/EP1254408B1/fr not_active Expired - Lifetime
- 2001-01-18 MX MXPA02006801A patent/MXPA02006801A/es unknown
- 2001-01-18 US US10/181,890 patent/US7174016B2/en not_active Expired - Fee Related
- 2001-01-18 CN CN01804114A patent/CN1397035A/zh active Pending
- 2001-01-18 JP JP2001555318A patent/JP3878853B2/ja not_active Expired - Fee Related
- 2001-01-18 WO PCT/FR2001/000166 patent/WO2001055838A2/fr active IP Right Grant
- 2001-01-18 AU AU2001235547A patent/AU2001235547A1/en not_active Abandoned
- 2001-01-18 DE DE60100992T patent/DE60100992T2/de not_active Expired - Lifetime
Also Published As
Publication number | Publication date |
---|---|
FR2804225A1 (fr) | 2001-07-27 |
EP1254408B1 (fr) | 2003-10-15 |
US20030053621A1 (en) | 2003-03-20 |
US7174016B2 (en) | 2007-02-06 |
DE60100992T2 (de) | 2004-11-11 |
CN1397035A (zh) | 2003-02-12 |
JP3878853B2 (ja) | 2007-02-07 |
DE60100992D1 (de) | 2003-11-20 |
MXPA02006801A (es) | 2002-10-23 |
WO2001055838A3 (fr) | 2001-12-20 |
WO2001055838A2 (fr) | 2001-08-02 |
AU2001235547A1 (en) | 2001-08-07 |
JP2003521010A (ja) | 2003-07-08 |
EP1254408A2 (fr) | 2002-11-06 |
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Legal Events
Date | Code | Title | Description |
---|---|---|---|
ST | Notification of lapse |
Effective date: 20091030 |